Find the equation of the circle which touches both the axes and the line `x=c`

Find the equation of the circle which touches both the axes and the straight line 4x+3y=6 in the first quadrant and lies below it.

Find the equation of the circle which touches the x-axis and whose center is (1, 2).

The equation of the circle which touches the axes of coordinates and the line x/3+y/4=1 and whose center lies in the first quadrant is x^2+y^2-2c x-2c y+c^2=0 , where c is (a) 1 (b) 2 (c) 3 (d) 6

The equation of the circle which touches the axes of coordinates and the line x/3+y/4=1 and whose center lies in the first quadrant is x^2+y^2-2c x-2c y+c^2=0 , where c is (a) 1 (b) 2 (c) 3 (d) 6

Find the equation of the circle which touch the line 2x-y=1 at (1,1) and line 2x+y=4

Find the equation of circles that touch both the axes and pass through ( -4,-2) in general form.

Find the equation of the circle which is touched by y=x , has its center on the positive direction of the x=axis and cuts off a chord of length 2 units along the line sqrt(3)y-x=0

Find the equations of the circles which pass through the origin and cut off chords of length a from each of the lines y=xa n dy=-x

The equation of a circle of radius r and touching both the axes is